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We report on measurements of forces acting between two conducting surfaces in a spherical-plane configuration in the 35 nm-1 micrometer separation range. The measurements are obtained by performing electrostatic calibrations followed by a…

Quantum Physics · Physics 2015-05-13 W. J. Kim , M. Brown-Hayes , D. A. R. Dalvit , J. H. Brownell , R. Onofrio

The electrostatic interaction between colloidal particles trapped at the interface between two immiscible electrolyte solutions is studied in the limit of small inter-particle distances. Within an appropriate model exact analytic…

Soft Condensed Matter · Physics 2014-05-07 Arghya Majee , Markus Bier , S. Dietrich

Patch potentials arising from the polycrystalline structure of material samples may contribute significantly to measured signals in Casimir force experiments. Most of these experiments are performed in the sphere-plane geometry, yet, up to…

Other Condensed Matter · Physics 2013-01-11 R. O. Behunin , Y. Zeng , D. A. R. Dalvit , S. Reynaud

The proximity force approximation (PFA) relates the interaction between closely spaced, smoothly curved objects to the force between parallel plates. Precision experiments on Casimir forces necessitate, and spur research on, corrections to…

Quantum Physics · Physics 2014-10-30 G. Bimonte , T. Emig , R. L. Jaffe , M. Kardar

We present an overview of the validity of the Proximity Force Approximation (PFA) in the calculation of Casimir forces between perfect conductors for different geometries, with particular emphasis for the configuration of a cylinder in…

Quantum Physics · Physics 2015-05-13 Francisco D. Mazzitelli , Fernando C. Lombardo , Paula I. Villar

The Coulomb's formula for the force FC of electrostatic interaction between two point charges is well known. In reality, however, interactions occur not between point charges, but between charged bodies of certain geometric form, size and…

Soft Condensed Matter · Physics 2016-04-26 Kiril Kolikov

The existence of a monotonic distance dependent contact potential between two plates in a Casimir experiment leads to an additional electrostatic force that is significantly different from the case of a constant potential. Such a varying…

Quantum Physics · Physics 2008-09-13 Steve K. Lamoreaux

We continue our study of patch effect (PE) for two close cylindrical conductors with parallel axes, slightly shifted against each other in the radial and by any length in the axial direction, started in [1], where the potential and energy…

General Relativity and Quantum Cosmology · Physics 2011-06-07 Valerio Ferroni , Alexander Silbergleit

We investigate the dependency of electrostatic interaction forces on applied potentials in Electrostatic Force Microscopy (EFM) as well as in related local potentiometry techniques like Kelvin Probe Microscopy (KPM). The approximated…

Materials Science · Physics 2009-11-13 M. Lucchesi , G. Privitera , M. Labardi , D. Prevosto , S. Capaccioli , P. Pingue

For the Casimir interaction between two nearby objects, the plane-wave basis proves convenient for numerical calculations as well as for analytical considerations leading to an optical interpretation of the relevant scattering processes of…

Quantum Physics · Physics 2022-09-12 Tanja Schoger , Benjamin Spreng , Gert-Ludwig Ingold , Paulo A. Maia Neto

We study the force between two circular electrodes in different configurations. A formula analogous to Kelvin's formula for the spheres is given in the case of equal disks held at the same potential and when one plate is earthed. An…

Classical Physics · Physics 2016-09-19 F. Maccarrone , G. Paffuti

The imperfect termination of static electric fields at semiconducting surfaces has been long known in solid state and transistor physics. We show that the imperfect shielding leads to an offset in the distance between two surfaces as…

Quantum Physics · Physics 2011-06-09 S. K. Lamoreaux , A. O. Sushkov

In this study, we derive the asymptotic expressions for the electrostatic force between two charged spherical conductors in an electric field. Davis \cite{davis1964two} initially provided an expression for these forces, which are split into…

Mathematical Physics · Physics 2024-10-01 Natarajan Thiruvenkadam , Vishwanath Kadaba Puttanna

We have measured the short-range attractive force between crystalline Ge plates, and found contributions from both the Casimir force and an electrical force possibly generated by surface patch potentials. Using a model of surface patch…

Quantum Physics · Physics 2013-05-29 W. J. Kim , A. O. Sushkov , D. A. R. Dalvit , S. K. Lamoreaux

A multiple scattering formulation is used to calculate the force, arising from fluctuating scalar fields, between distinct bodies described by $\delta$-function potentials, so-called semitransparent bodies. (In the limit of strong coupling,…

High Energy Physics - Theory · Physics 2008-11-26 Kimball A. Milton , Jef Wagner

We present exact closed-form expressions and complete asymptotic expansions for the electrostatic force between two charged conducting spheres of arbitrary sizes. Using asymptotic expansions of the force we confirm that even like-charged…

Classical Physics · Physics 2021-04-07 Shubho Banerjee , Thomas Peters , Nolan Brown , Yi Song

We obtain the distance of closest approach of the surfaces of two arbitrary ellipsoids valid at any orientation and separation, measured along their inter-center vector. This directional distance is derived from the Elliptic Contact…

Soft Condensed Matter · Physics 2009-11-11 Leonid Paramonov , S. N. Yaliraki

Within the framework of nonrelativistic electrodynamics, general formulas have been obtained for the tangential dissipative force of electrostatic friction and the normal force of attraction to the surface of an axially symmetric probe…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 G. V. Dedkov , A. A. Kanametov

We present the foundations of a new approach to the Casimir effect based on classical ray optics. We show that a very useful approximation to the Casimir force between arbitrarily shaped smooth conductors can be obtained from knowledge of…

Quantum Physics · Physics 2009-11-10 A. Scardicchio , R. L. Jaffe

The spatial variation and temporal variation in surface potential are important error sources in various precision experiments and deserved to be considered carefully. In the former case, the theoretical analysis shows that this effect…

Soft Condensed Matter · Physics 2023-03-29 Jun Ke , Wen-Can Dong , Sheng-Hua Huang , Yu-Jie Tan , Wen-Hai Tan , Shan-Qing Yang , Cheng-Gang Shao , Jie Luo
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